Solve for x 4x-2(-2x-3)=10x

$4 x - 2 (- 2 x - 3) = 10 x$

Step 1

Simplify $4 x - 2 (- 2 x - 3)$ .

Simplify each term.

Apply the distributive property.

$4 x - 2 (- 2 x) - 2 \cdot - 3 = 10 x$

Multiply $- 2$ by $- 2$ .

$4 x + 4 x - 2 \cdot - 3 = 10 x$

Multiply $- 2$ by $- 3$ .

$4 x + 4 x + 6 = 10 x$

Add $4 x$ and $4 x$ .

$8 x + 6 = 10 x$

Step 2

Move all terms containing $x$ to the left side of the equation.

Subtract $10 x$ from both sides of the equation.

$8 x + 6 - 10 x = 0$

Subtract $10 x$ from $8 x$ .

$- 2 x + 6 = 0$

Step 3

Subtract $6$ from both sides of the equation.

$- 2 x = - 6$

Step 4

Divide each term in $- 2 x = - 6$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 6$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 6}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 6}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 6}{- 2}$

Simplify the right side.

Divide $- 6$ by $- 2$ .

$x = 3$